Question

drag each label to the correct location on the table. each label can be used more than once, but not all labels will be used.

complete the table by classifying the polynomials by degree and number of terms.

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$$\begin{tabular}{|c|c|c|} \\hline polynomial & name using degree & name using number of terms \\\\ \\hline 2x^2 & & \\\\ \\hline -2 & & \\\\ \\hline 3x - 9 & & \\\\ \\hline -3x^2 - 6x + 9 & & \\\\ \\hline \\end{tabular}$$

monomial binomial linear trinomial exponential constant quadratic

Explanation:

Classify the polynomial \(2x^2\)

Using the Polynomial Classification, Degree of Polynomial, and Number of Terms knowledge points

• Degree: \(2\) (highest exponent is \(2\)), which is quadratic.
• Number of terms: \(1\) term, which is a monomial.

Classify the polynomial \(-2\)

Using the Polynomial Classification, Degree of Polynomial, and Number of Terms knowledge points

• Degree: \(0\) (no variable), which is constant.
• Number of terms: \(1\) term, which is a monomial.

Classify the polynomial \(3x - 9\)

Using the Polynomial Classification, Degree of Polynomial, and Number of Terms knowledge points

• Degree: \(1\) (highest exponent is \(1\)), which is linear.
• Number of terms: \(2\) terms, which is a binomial.

Classify the polynomial \(-3x^2 - 6x + 9\)

Using the Polynomial Classification, Degree of Polynomial, and Number of Terms knowledge points

• Degree: \(2\) (highest exponent is \(2\)), which is quadratic.
• Number of terms: \(3\) terms, which is a trinomial.

Answer:

Polynomial	Name Using Degree	Name Using Number of Terms
\(-2\)	constant	monomial
\(3x - 9\)	linear	binomial
\(-3x^2 - 6x + 9\)	quadratic	trinomial